Generalizing the exact WKB analysis for onedimensional Schr\"odinger equations established by Voros, Pham, Delabere and others, Aoki, Kawai and I developed the exact WKB analysis for continuous Painlev\'e equations and clarified, in particular, their Stokes geometry and connection formula. Later Iwaki discussed the wallcrossing formula for Painlev\'e equations as well. In this talk I would like, on one hand, to review these previous works and, on the other hand, to talk about my recent research jointly done in part with N. Joshi (Sydney) on the exact WKB analysis for discrete Painle\'e equations. Main targets of the latter research are discrete Painle\'e equations obtained from continuous Painlev\'e equations through the B\"acklund transformation. In the analysis of such discrete Painlev\'e equations both connection formula and wallcrossing formula for continuous Painlev\'e equations appear as different kinds of connection formula.
You are here
Exact WKB analysis for continuous and discrete Painlev\'e equations  Stokes geometry, connection formula and wallcrossing formula
Research Group:
Yoshitsugu Takei
Institution:
RIMS, Kyoto University, Japan
Location:
A136
Schedule:
Thursday, September 15, 2016  14:30 to 16:00
Abstract:
Openings
 Public calls for academic personnel (Permanent positions)
 Professors (Temporary/Researchers/Visiting Professors)
 SISSA Mathematical Fellowships
 Post Doctoral Fellowships
 PhD Scholarships
 Call for Applications (PhD)
 Undergraduate Fellowships
 Postgraduate Fellowships
 Laurea Magistrale (In Italian)
 Marie SklodowskaCurie Grants
Upcoming events

Giulia Meglioli
Comparison of model order reduction approaches in parametrized optimal control problems
Wednesday, January 24, 2018  15:00

Francesco Solombrino
Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach
Wednesday, January 24, 2018  16:00

Enrico Pasqualetto
Towards a notion of parallel transport for metric measure spaces with lower Ricci curvature bounds
Friday, January 26, 2018  14:00

Céline Maistret
Parity of ranks of abelian surfaces
Thursday, February 1, 2018  14:00
Today's Lectures

Stefano Bianchini
09:00 to 11:00

Ludwik Dabrowski
11:00 to 13:00

Nicola Visciglia
11:00 to 13:00

Andrei Agrachev
11:00 to 13:00

Nicola Gigli
14:00 to 16:00

Ugo Bruzzo
14:30 to 16:00
Recent publications

G. Cotti; B. Dubrovin; D. Guzzetti,Local moduli of semisimple Fro...

I. Androulidakis; P. Antonini,{Integrable lifts for transiti...

S. Bianchini; P. Bonicatto,A uniqueness result for the de...

N. Antonić; K. Burazin; I. Crnjac; M. Erceg,Complex Friedrichs systems and...